101210102100101 has 16 divisors (see below), whose sum is σ = 108938895522480. Its totient is φ = 93679089377280.

The previous prime is 101210102100083. The next prime is 101210102100119. The reversal of 101210102100101 is 101001201012101.

It is an interprime number because it is at equal distance from previous prime (101210102100083) and next prime (101210102100119).

It can be written as a sum of positive squares in 8 ways, for example, as 15832520580100 + 85377581520001 = 3979010^2 + 9239999^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101210102100101 is a prime.

It is a super-2 number, since 2×101210102100101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101210102100901) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2160116 + ... + 14390493.

It is an arithmetic number, because the mean of its divisors is an integer number (6808680970155).

Almost surely, 2^{101210102100101} is an apocalyptic number.

It is an amenable number.

101210102100101 is a deficient number, since it is larger than the sum of its proper divisors (7728793422379).

101210102100101 is a wasteful number, since it uses less digits than its factorization.

101210102100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16556584.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101210102100101 its reverse (101001201012101), we get a palindrome (202211303112202).

The spelling of 101210102100101 in words is "one hundred one trillion, two hundred ten billion, one hundred two million, one hundred thousand, one hundred one".